Shortcuts to Adiabatic Pumping in Classical Stochastic Systems

Abstract

Adiabatic pumping is characterized by a geometric contribution to the pumped charge, which can be non-zero even in the absence of a bias. However, as the driving speed is increased, non-adiabatic excitations gradually reduce the pumped charge, thereby limiting the maximal applicable driving frequencies. To circumvent this problem, we here extend the concept of shortcuts to adiabaticity to construct a control protocol which enables geometric pumping well beyond the adiabatic regime. Our protocol allows for an increase, by more than an order of magnitude, in the driving frequencies, and the method is also robust against moderate fluctuations of the control field. We provide a geometric interpretation of the control protocol and analyze the thermodynamic cost of implementing it. Our findings can be realized using current technology and potentially enable fast pumping of charge or heat in quantum dots, as well as in other stochastic systems from physics, chemistry, and biology.

arXiv comment6 pages, 2 figures, accepted for publication in Phys. Rev. Lett

References in corpus (31)

• Berry Phase Effects on Electronic Properties
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Artificial Brownian motors: Controlling transport on the nanoscale
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Shortcuts to adiabaticity: concepts, methods, and applications
• Scattering approach to parametric pumping
• Steady State Thermodynamics of Langevin Systems
• Fast optimal frictionless atom cooling in harmonic traps
• Shortcuts to adiabaticity
• Brownian motors
• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Optical selection rules and phase-dependent adiabatic state control in a superconducting quantum circuit
• Trade-off between speed and cost in shortcuts to adiabaticity
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Fluctuation theorem in quantum heat conduction
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Generating shortcuts to adiabaticity in quantum and classical dynamics
• Controllable coherent population transfers in superconducting qubits for quantum computing
• Directed flow in non-adiabatic stochastic pumps
• Superadiabatic Controlled Evolutions and Universal Quantum Computation
• Shortcuts to adiabaticity for non-Hermitian systems
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Geometric Speed Limit of Accessible Many-Body State Preparation
• Geometrical Expression of Excess Entropy Production
• Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
• Nonadiabatic Control of Geometric Pumping
• Current and fluctuation in a two-state stochastic system under non-adiabatic periodic perturbation
• Robust quantization of a molecular motor motion in a stochastic environment
• Geometric Fluctuation Theorem
• Optimization of quantized charge pumping using full counting statistics
• Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve

Cited by in corpus (28)

• Non-Hermitian Physics
• Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
• Quantum thermal machines and batteries
• Nonadiabatic Control of Geometric Pumping
• Geodesic path for the minimal energy cost in shortcuts to isothermality
• Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations
• Optimising the relaxation route with optimal control
• Machine-learning assisted quantum control in random environment
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
• General bound on the performance of counter-diabatic driving acting on dissipative spin systems
• Thermal brachistochrone for harmonically confined Brownian particles
• Speed limits of the trace distance for open quantum system
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Equilibrium free energy differences from a linear nonequilibrium equality
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
• Rapid-cycle Thouless pumping in a one-dimensional optical lattice
• An ideal rapid-cycle Thouless pump
• Optimally robust shortcuts to population inversion in cat-state qubits
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Asymptotic expansion of the solution of the master equation and its application to the speed limit
• Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Adiabatic theorem for classical stochastic processes
• Weak-Memory Dynamics in Discrete Time
• Optimal control over the full counting statistics in a non-adiabatic pump